Calculating Work Done on Karen by Woodley Park Station Escalator

[lzh]

Homework Statement

Karen has a mass of 54 kg as she rides the
up escalator at Woodley Park Station of the
Washington D.C. Metro. Karen rode a dis-
tance of 59:5 m, the longest escalator in the
free world.
The acceleration of gravity is 9:8 m=s2 :
How much work did the escalator do on
Karen if it has an inclination of 29:4±? Answer
in units of J.

Homework Equations

W=F*x*cos(theta)
where F= force, x is displacement and theta is the angle between the 2

The Attempt at a Solution

I first drew a force diagram. And used it to figure out this:
mg=529.2N
F=529.2*cos60.6=259.786N <-force of escalator
Next i plugged it into the Work equation:
the angle between the displacement and force is 0, so cos(theta)=1:
W=259.786*59.5*1=15457.28285J

is this right? I just need a confirmation, because I can't afford to get this wrong. Ty in advance

 

[Ja4Coltrane]

looks good!

 

[Ja4Coltrane]

but using 60 instead of the exact value makes your answer inaccurate

 

[lzh]

60? for:
F=529.2*cos60.6=259.786N <-force of escalator

 

[Ja4Coltrane]

haha, sorry, I didn't see the .6